Experiments and stability in group automata

AbstractIf one considers abstract deterministic automata as “black boxes”, information about the interior of the black box is available by identifier experiments (of first- or second-order). Effects by wrong automaton operation disappear under certain stability properties of the automaton (see [7]). In this note we give a bound for stability and study under which conditions identifier experiments exist if the state set of the automaton is a (not necessarily abelian) group with multiple operators